如图,在三棱柱
中,
平面
为正三角形,侧面
是边长为2的正方形,
为
的中点.
平面
;
(2)取
的中点
,连接
,求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d25e8fc3dda4f8b45491514b6e22a962.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3cfd6b6a7e911d10d1a4bed9ca5e749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b9a3f868837555eb40234b3375f4a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
(2)取
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4550b5eebb311298fb89d44a913bedc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0715b04d494f97e6efe2ff694388c73.png)
20-21高二上·北京·期中 查看更多[9]
北京市第十五中学2020-2021学年高二上学期期中考试数学试题北京市大峪中学2022-2023学年高二上学期期中调研数学试题四川省内江市第六中学2022-2023学年高一下学期第一次月考(创新班)数学试题陕西省汉中市2024届高三上学期第二次校际联考模拟预测理科数学试题(已下线)专题09 立体几何(5大易错点分析+解题模板+举一反三+易错题通关)-2(已下线)期中真题必刷基础60题(47个考点专练)-【满分全攻略】2023-2024学年高二数学同步讲义全优学案(人教A版2019选择性必修第一册)(已下线)专题7.3 空间角与空间中的距离问题【九大题型】(已下线)第二章 立体几何中的计算 专题一 空间角 微点8 二面角大小的计算综合训练【基础版】(已下线)黄金卷01
更新时间:2023-10-13 09:50:51
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相似题推荐
【推荐1】如图,在四棱锥
中,
,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/4/41ac5492-9cfb-4c7e-ad29-b6aeda9562cc.png?resizew=196)
(1)求证:平面
平面
;
(2)若
,
,四棱锥
的体积为
,求四棱锥
的侧面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
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![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/4/41ac5492-9cfb-4c7e-ad29-b6aeda9562cc.png?resizew=196)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/652e17c25238a446ab3e6b0b3e4efeab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c5ace226a547e68702df548b08cb5a.png)
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解答题-证明题
|
适中
(0.65)
【推荐2】在底面为平行四边形的四棱锥P﹣ABCD中,AB⊥AC,PA⊥平面ABCD,点E是PD的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/29/907474ee-6731-457c-bb3a-3a9312c7cdcd.png?resizew=159)
(1)求证:PB∥平面AEC;
(2)求证:平面EAC⊥平面PAB.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/29/907474ee-6731-457c-bb3a-3a9312c7cdcd.png?resizew=159)
(1)求证:PB∥平面AEC;
(2)求证:平面EAC⊥平面PAB.
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(0.65)
解题方法
【推荐1】如图所示,正方形ABCD和矩形ACEF所在的平面相互垂直,已知AB=2,
.
(I)求证:EO⊥平面BDF;
(II)求二面角A﹣DF﹣B的大小.
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(I)求证:EO⊥平面BDF;
(II)求二面角A﹣DF﹣B的大小.
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解答题-问答题
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适中
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【推荐2】如图,在四棱锥
中,平面
平面
,
,
,
,
.
(1)证明:
平面
.
(2)求二面角
的正弦值.
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(1)证明:
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(2)求二面角
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适中
(0.65)
真题
【推荐3】如图,已知直二面角
,
,
,
,
,
,直线
和平面
所成的角为
.
(1)证明
;
(2)求二面角
的大小.
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b77be146c65b7b9f7b1d0cbc981a822.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d89ba4036a5d18ec4abed44d7fd8e89.png)
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(1)证明
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(2)求二面角
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